Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 22, Problem 43P
(a)
To determine
The total charge on the sphere.
(b)
To determine
The electric field inside and outside the charge distribution.
(c)
To determine
Sketch of the magnitude of the electric field as a function of the distance
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A charged sphere of radius Rohas charge density p=p,. Find the total charge in
the sphere.
Consider a thin plastic rod bent into an arc of radius Rand angle a (see figure below). The rod carries a uniformly distributed
negative charge Q
-Q
A
IR
What are the components
and E, of the electric field at the origin? Follow the standard four steps.
(a) Use a diagram to explain how you will cut up the charged rod, and draw the AE contributed by a representative piece.
(b) Express algebraically the contribution each piece makes to the and y components of the electric field. Be sure to show
your integration variable and its origin on your drawing. (Use the following as necessary: Q, R, cx, 0, A0, and EQ-)
ΔΕ, =
-
TE aR²
AB=(2
Lower limit= 0 ✓
e
aR²
Upper limit= a X
cos(0)40 x
(c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of your
integration variable.
sin (0)40 x
Evaluate the integral. (Use the following as necessary: Q, R, a, and E.)
Edit
An electric force is expressed as F = -pz sin o a, + p cos pa,. Transform F into
cartesian coordinates and compute its magnitude at point (2,-1).
Chapter 22 Solutions
Physics for Scientists and Engineers
Ch. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - Prob. 10P
Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 15PCh. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - Prob. 18PCh. 22 - Prob. 20PCh. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - Prob. 23PCh. 22 - Prob. 24PCh. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Prob. 29PCh. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Prob. 33PCh. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - Prob. 39PCh. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - Prob. 43PCh. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - Prob. 48PCh. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - Prob. 53PCh. 22 - Prob. 54PCh. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - Prob. 66PCh. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Prob. 71PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81PCh. 22 - Prob. 82PCh. 22 - Prob. 83PCh. 22 - Prob. 84PCh. 22 - Prob. 85PCh. 22 - Prob. 86PCh. 22 - Prob. 87PCh. 22 - Prob. 88P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Question 1) A cylinder with uniform surface current "K (A/m)", (rotating in the phi direction, is parallel to and centered on the z-axis. The cylinder is "L" meters long and has a radius of "a" meters. Compute the electric field at a heigh "4a" directly above the cylinder (this is on the z-axis).arrow_forwardConsider linto. two The sphenical conductor (radius a) separetea latikude of ks from two parts at morth. The Parts. are insulated another One part (latitude s45') is top Potential of V and -V In. held at a bottom part Clattitude sphenical cocrdinates, take zaxis termss the at the of angle es painting where to north. In the two parts? Determine the entre are the electric potential space outside the Conductor.arrow_forwardFollowing the previous question, the x-component of the net electric field at x = -1.00 m, Enet.x , is N/C. Use normal format and 3 significant figures.arrow_forward
- The electric field in terms of spherical coordinates is defined as follows: E = kr'r Here, k is the constant. .3 Obtain the expression for the charge density. (A) 5kɛ,r² (B) 2kɛ,r² (C) 4kɛ,r² (D) kɛ,r? Activat Go to RCarrow_forwardFinal answers should be in two decimal places only. Include proper substitution and cancellation of units. Include illustrations. Two horizontal parallel plates are separated by a distance of (given d) creating an electric field of (given E) directed north. An electron is place halfway between the two plates with and fired with initial velocity (given v) from the horizontal. Calculate the time it takes for the electron to land at the positive plate and its speed before hitting the plate. Given: Distance (mm): 170 Electric Field (µN/C): 27 Velocity (m/s): 62arrow_forwardpart 1 of 2 Consider the field due to a uniformly charged disk of radius R and charge Q. Along the symmetry axis at distance z from the cen- ter, the field has been written in following forms. where Eexact = Eo (1 。 (1-√R²+²) (1-7) E₁ ≈ Eo (1 R part 2 of 2 Eo = (Q/A) 280 To compare the accuracy of different ap- proximations it is convenient to work with the normalized difference to be specified below. The nth order smallness is charac- terized by e" and € = 3 with e being the smallness parameter. In general the nth or- der term takes the form Ce", where C is some finite constant (e.g 0.1arrow_forwardThe electric field in a region is given by E=al(b+cx)i, where a=200 N ? m/C, b=2.0 m, and c=2.0 . What is the net charge enclosed by the shaded volume shown below?arrow_forwardCalculate the resultant electric field strength and direction at point P.arrow_forwardE(r) = Bzi - ax'y'j+ (6@yxy + Bóz³) k %3D where a, B, y and & are constants and r = xi+yj+zk. Find the corresponding charge density p(r).arrow_forwardpart 1 of 2 Consider the field due to a uniformly charged disk of radius R. and charge Q. Along the symmetry axis at distance z from the cen- ter, the field has been written in following forms. where Eexact = Eo E₁ Eo part 2 of 2 2 R² + z² (1-7) (Q/A) 280 Eo = To compare the accuracy of different ap- proximations it is convenient to work with the normalized difference to be specified below. The nth order smallness is charac- terized by e" and € = with being the R smallness parameter. In general the nth or- der term takes the form Ce", where C is some finite constant (e.g 0.1 < C < 10). Eexact - E1| For the normalized difference Eo identify the correct choice among the follow- ing |E1 - Eo For the normalized difference Eo identify the correct choice among the follow- ing 1. 2. €³ 3. €2 4. € 1. € 2. €³ 3. €² 4. €4arrow_forwardPA: Find the force exerted by the wire of shape L loca ted on the shown in the figure lorated at If the wire i's uniformly with charge density xy-axis as on the charge point Ç 616). charged (0120) * (6,6) (100,0) the problem P1, For the find the electrical field at point (6,6) P2 : i'n wi're in the pn blom P1, P3: For the find the electrical potenti'al at Point (6,6) Ps: For wirearrow_forwardTime lett 009:40 Consider two identical conductor spheres. A and B. Initialy, sphere A has a charge of 60uC and sphere B has a charge of +30C. It the spheres touched and then are separated by a distance ot 20 cm. What is the resultant force between them O zero O 203 N. Altraction O 50.6 N. Repusive O 203 N. Repubive O 50.6 N. Aftractionarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY